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Finding the Fourth Proportional to 1,846.10, 2,542.16 and 1,649.54

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Solution

The fourth proportional to 1,846.10, 2,542.16 and 1,649.54 is: 2,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.10 : 2,542.16 = 1,649.54 : x
  2. Step 2: Convert to fraction form
    1,846.10/2,542.16 = 1,649.54/x
  3. Step 3: Cross multiply
    1,846.10x = 2,542.16 × 1,649.54
  4. Step 4: Simplify right side
    1,846.10x = 4,193,386.02
  5. Step 5: Solve for x
    x = 4,193,386.02/1,846.10
  6. Step 6: Final answer
    x = 2,271.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.